470444642000 has 160 divisors (see below), whose sum is σ = 1178657775360. Its totient is φ = 181495641600.

The previous prime is 470444641981. The next prime is 470444642071. The reversal of 470444642000 is 246444074.

It is a super-2 number, since 2×470444642000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6216389 + ... + 6291611.

It is an arithmetic number, because the mean of its divisors is an integer number (7366611096).

Almost surely, 2^470444642000 is an apocalyptic number.

470444642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470444642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589328887680).

470444642000 is an abundant number, since it is smaller than the sum of its proper divisors (708213133360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470444642000 is a wasteful number, since it uses less digits than its factorization.

470444642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75358 (or 75342 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

The spelling of 470444642000 in words is "four hundred seventy billion, four hundred forty-four million, six hundred forty-two thousand".